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arXiv · 2111.10886

Integrable partial differential equations and Lie--Rinehart algebras

Oleg I. Morozov
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Abstract

We develop the method for constructing Lax representations of PDEs via the twisted extensions of their algebras of contact symmetries by generalizing the construction to the Lie--Rinehart algebras. We present examples of application of the proposed technique.

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Oleg I. Morozov. 2022-08-09. Integrable partial differential equations and Lie--Rinehart algebras. https://doi.org/10.1016/j.geomphys.2022.104661

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